The rate of entropy generation is used to estimate the average error of approximate numerical solutions of conductive and convective heat transfer problems with respect to the corresponding exact solutions. This is possible because the entropy analysis of simple problems, which have exact analytical solutions, shows that the rate of entropy generation behaves similarly to the average error of approximate solutions. Two test cases (transient two-dimensional heat conduction with Dirichlet boundary conditions and free convection between two plates at different temperatures with internal heat source) are discussed. Results suggest to use entropy analysis as a tool for the assessment of solution methods and to estimate the error of numerical solutions of thermal-fluid-dynamics problems.
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2010 14th International Heat Transfer Conference
August 8–13, 2010
Washington, DC, USA
Conference Sponsors:
- Heat Transfer Division
ISBN:
978-0-7918-4936-1
PROCEEDINGS PAPER
Numerical Solutions Control by Entropy Analysis Available to Purchase
Luigi De Giorgi,
Luigi De Giorgi
Politecnico di Torino, Turin, Italy
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Volfango Bertola,
Volfango Bertola
Politecnico di Torino, Turin, Italy
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Emilio Cafaro,
Emilio Cafaro
Politecnico di Torino, Turin, Italy
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Carlo Cima
Carlo Cima
Politecnico di Torino, Turin, Italy
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Luigi De Giorgi
Politecnico di Torino, Turin, Italy
Volfango Bertola
Politecnico di Torino, Turin, Italy
Emilio Cafaro
Politecnico di Torino, Turin, Italy
Carlo Cima
Politecnico di Torino, Turin, Italy
Paper No:
IHTC14-22903, pp. 909-913; 5 pages
Published Online:
March 1, 2011
Citation
De Giorgi, L, Bertola, V, Cafaro, E, & Cima, C. "Numerical Solutions Control by Entropy Analysis." Proceedings of the 2010 14th International Heat Transfer Conference. 2010 14th International Heat Transfer Conference, Volume 1. Washington, DC, USA. August 8–13, 2010. pp. 909-913. ASME. https://doi.org/10.1115/IHTC14-22903
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